{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# ***Introduction to Radar Using Python and MATLAB***\n",
    "## Andy Harrison - Copyright (C) 2019 Artech House\n",
    "<br/>\n",
    "\n",
    "# Single Pulse Signal to Noise Ratio\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Referring to Section 6.2.2, the example below shows a comparison of the single pulse signal-to-noise ratio required for coherent integration and noncoherent integration.  The figure includes both approximations for noncoherent integration.  As illustrated in the figure, coherent integration outperforms noncoherent integration for increasing $N$. However, as the number of pulses becomes exceedingly large, coherent integration will start to degrade.\n",
    "***"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Begin by getting the library path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import lib_path"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Set the probability of false alarm, the probability of detection, and the number of pulses"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import arange\n",
    "\n",
    "pfa = 1e-6\n",
    "\n",
    "pd = 0.95\n",
    "\n",
    "number_of_pulses = 10\n",
    "\n",
    "np = arange(1, number_of_pulses + 1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Find the required signal to noise for the specified probability of detection and probability of false alarm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from Libs.detection.single_pulse import snr_reduction, snr_gain, single_pulse_snr\n",
    "\n",
    "required_snr = single_pulse_snr(pd, pfa)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the single pulse signal to noise (Curry)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal_to_noise_reduction = snr_reduction(np, required_snr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the single pulse signal to noise (Peebles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "signal_to_noise_gain = snr_gain(pd, pfa, np, required_snr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Calculate the single pulse signal to noise for coherent integration"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import log10\n",
    "\n",
    "signal_to_noise_coherent = 10.0 * log10(required_snr / np)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Display the signal to noise ratio for coherent integration, for noncoherent integration (Curry and Peebles)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x28100ce6bb0>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot as plt\n",
    "\n",
    "\n",
    "\n",
    "# Set the figure size\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (15, 10)\n",
    "\n",
    "\n",
    "\n",
    " # Display the results\n",
    "\n",
    "plt.plot(np, signal_to_noise_coherent, '', label='Coherent Integration')\n",
    "\n",
    "plt.plot(np, signal_to_noise_gain, '--', label='Noncoherent Integration (6.22)')\n",
    "\n",
    "plt.plot(np, signal_to_noise_reduction, '-.', label='Noncoherent Integration (6.21)')\n",
    "\n",
    "\n",
    "\n",
    "# Set the plot title and labels\n",
    "\n",
    "plt.title('Single Pulse Signal to Noise', size=14)\n",
    "\n",
    "plt.xlabel('Number of Pulses', size=12)\n",
    "\n",
    "plt.ylabel('Signal to Noise (dB)', size=12)\n",
    "\n",
    "\n",
    "\n",
    "# Set the tick label size\n",
    "\n",
    "plt.tick_params(labelsize=12)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the grid\n",
    "\n",
    "plt.grid(linestyle=':', linewidth=0.5)\n",
    "\n",
    "\n",
    "\n",
    "# Turn on the legend\n",
    "\n",
    "plt.legend(loc='best', prop={'size': 10})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
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